Lecture notes on Quantum Diffusion and Random Matrix Theory
Analysis of PDEs
2025-11-07 v1 Mathematical Physics
math.MP
Probability
Abstract
In joint work with Adam Black and Reuben Drogin, we develop a new approach to understanding the diffusive limit of the random Schrodinger equation based on ideas taken from random matrix theory. These lecture notes present the main ideas from this work in a self-contained and simplified presentation. The lectures were given at the summer school "PDE and Probability" at Sorbonne Universit\'e from June 16-20, 2025.
Keywords
Cite
@article{arxiv.2511.04380,
title = {Lecture notes on Quantum Diffusion and Random Matrix Theory},
author = {Felipe Hernández},
journal= {arXiv preprint arXiv:2511.04380},
year = {2025}
}
Comments
Lectures based on arXiv:2502.02566 and arXiv:2506.06468